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Finding the Third Proportional to 1,527.06 and 3,227.11

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Solution

The third proportional to 1,527.06 and 3,227.11 is: 6,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.06 : 3,227.11 = 3,227.11 : x
  2. Step 2: Convert to fraction form
    1,527.06/3,227.11 = 3,227.11/x
  3. Step 3: Cross multiply
    1,527.06x = 3,227.11 × 3,227.11
  4. Step 4: Simplify right side
    1,527.06x = 10,414,216.01
  5. Step 5: Solve for x
    x = 10,414,216.01/1,527.06
  6. Step 6: Final answer
    x = 6,819.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.